3 papers
math.AG2026
On Pseudo-Effectivity and Volumes of Adjoint Classes in Kähler Families with Projective Central Fiber
Christopher D. Hacon, Yi Li, Sheng Rao
This paper is devoted to studying the deformation behavior of pseudo-effective canonical divisors and volumes of adjoint classes in Kähler families. Based on recent developments in…
math.AG2025
Deformation of nef adjoint canonical line bundles
Mu-Lin Li, Sheng Rao, Kai Wang
Much inspired by J. A. Wiśniewski's nef-value function method, we prove that in a smooth projective family over the unit disk, if the adjoint bundle of the canonical line bundle wi…
math.CV2025
Rigidity for compact hyperbolic complex manifolds
Mu-Lin Li, Sheng Rao, Mengjiao Wang
We study the deformation behavior of compact hyperbolic complex manifolds. Let be a smooth family of compact complex manifolds over the unit disk in $\…